GCD of 961, 733, 42, 674 Calculator

Given Input numbers are 961, 733, 42, 674

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 961, 733, 42, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 733, 42, 674 is 1.

Therefore, GCD of numbers 961, 733, 42, 674 is 1

Given Input Data is 961, 733, 42, 674

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 961 is 31 x 31

Prime Factorization of 733 is 733

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 674 is 2 x 337

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(961, 733) = 704413

GCD(961, 733) = ( 961 x 733 ) / 704413

GCD(961, 733) = 704413 / 704413

GCD(961, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 961, 733, 42, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 503, 51, 518
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• GCD of 521, 894, 12, 129
• GCD of 773, 141, 21, 618
• GCD of 229, 803, 93, 917

1. What is the GCD of 961, 733, 42, 674?

GCD of 961, 733, 42, 674 is 1

2. Where do I get the detailed procedure to find GCD of 961, 733, 42, 674?

You can find a detailed procedure to find GCD of 961, 733, 42, 674 on our page.

3. How to find GCD of 961, 733, 42, 674 on a calculator?

You can find the GCD of 961, 733, 42, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.